- We will have our final exam starting at 5:15pm in LSC 233. Scratch paper and the approved formula sheet will be provided. Bring writing utensils, a small ruler, and a calculator (no cell phones, laptops, or tablets allowed as a calculator). It will cover everything in the course and maybe a few things that aren’t.
- The Take Home portion of the Final exam is due in Dropbox before 5:15pm on May 19, 2022.
Math 320: Chaos and Fractals
Final Exam – Thursday, May 19, 2022 – 5:15PM – LSC 316
Course Handouts and References
- Lecture Notes – our newly revised course lecture notes.
- Course Syllabus
- Proofs – notes and handouts from my Math 299 course on mathematical proofs
Math 320 Online
- Math 320 Online Classroom If we have to pivot to remote instruction this semester, click here to enter our Zoom classroom.
- Zoom help – Zoom for Scranton students, how to install, how to use, documentation.
Software and Handouts
- Guess My IFS! – my web app for guessing the IFS that creates a given attractor.
- Express My IFS! – my web app for drawing the attractor of some simple IFSs.
- Guess My Address! – my web app for guessing the address of a point in the attractor of an IFS.
- remote.scranton.edu – login here with your royalid and password to access our Maple software.
- Maple Chaos Package – the Maple chaos package I wrote for this course
- Chaos package documentation – the help file for the Maple chaos package above in pdf format
- Lecture Examples – a Maple worksheet used in lecture to illustrate the concepts defined in the lecture notes
- Golly – a free cellular automata program for Windows, Mac, and Linux
Homework Assignments
- Homework Problems – referred to above are in the new lecture notes.
- LaTeX Homework Template – click this link to start a new assignment.
- Documentation for our LaTeX Homework Template – a sample document illustrating the features of our assignment style
- Overleaf LaTeX Documentation – a nice general help file and reference guide to using LaTeX.
Graph Paper
For creating your fractal works of art.
| # | Date | Topic |
|---|---|---|
| 1 | Tue, Jan 27 | Introduction |
| 2 | Thu, Feb 1 | Logic and Proof |
| 3 | Tue, Feb 3 | Sets, Functions, Sequences |
| 4 | Thu, Feb 8 | Number Theory and Induction |
| 5 | Tue, Feb 10 | Discrete Dynamical Systems |
| 6 | Thu, Feb 15 | Iteration: $3x+1$, Sumerian method, Euclidean Alg,Tag problem |
| 7 | Tue, Feb 17 | Iteration: Stick figures, GBs, HeeBGBs |
| 8 | Thu, Feb 22 | Iteration: Newton’s method, Change of base |
| 9 | Tue, Feb 24 | Iteration: Fractran, Cellular Automata |
| 10 | Tue, Mar 1 | Introduction to Maple |
| 11 | Thu, Mar 3 | – |
| 12 | Tue, Mar 8 | Midterm Exam |
| 13 | Thu, Mar 10 | – |
| 14 | Thu, Mar 22 | Metric Spaces I |
| 15 | Tue, Mar 24 | Metric Spaces II |
| 16 | Thu, Mar 29 | Hausdorf Metric |
| 17 | Tue, Mar 31 | Chaos |
| 18 | Thu, Apr 5 | Contraction Mapping Theorem |
| 19 | Tue, Apr 7 | Complex Numbers |
| 20 | Thu, Apr 12 | Affine Maps |
| 21 | Tue, Apr 19 | Iterated Function Systems |
| 22 | Thu, Apr 21 | Address My IFS |
| 23 | Tue, Apr 26 | Fractal Data Analysis |
| 24 | Thu, Apr 28 | Fractal Curves |
| 25 | Tue, May 3 | Fractal Interpolation |
| 26 | Tue, May 5 | Fractal Dimension |
| 27 | Thu, May 10 | Complex Fractals |
| 28 | Tue, May 12 | – |